SSC CHSL 2 July 2019 Shift-1

Instructions

For the following questions answer them individually

Question 51

The given Bar Graph presents the Target and Actual production of AC Machines (numbers in thousands) of a factory over five months.

The actual production of AC Machines in April was what percentage more than the average target production of AC Machines over five months ?

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Question 52

If $$\cot \theta = \frac{1}{\sqrt3}$$, then the value of $$\frac{2 - \sin^2 \theta}{1 - \cos^2 \theta} + (\cosec^2 \theta + \sec \theta)$$ is:

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Question 53

A is 20% more than B, B is 25% more than C, C is 60% less than D and D is 20% more than E.
Based on the above information, which of the following is true?

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Question 54

Two circles of radii 15 cm and 12 cm intersect each other, and the length of their common chord is 18 cm. What is the distance (in cm) between their centres ?

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Question 55

The ratio of the incomes of A and B is 2 : 3 and that of their expenditures is 1 : 2. If 90% of B’s expenditure is equal to the income of A, then what is the ratio of the savings of A and B?

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Question 56

Two concentric circles are of radii 15 cm and 9 cm. What is the length of the chord of the larger circle which is tangent to the smaller circle?

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Question 57

$$\frac{(\sec \theta + \tan \theta)(1 - \sin \theta)}{\cosec \theta(1 + \cos \theta)(\cosec \theta - \cot \theta)}$$ is equal to:

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Question 58

If $$3\sqrt3 x^3 - 2\sqrt2 y^3 = (\sqrt3 x - \sqrt2y) (Ax^2 - Bxy + Cy^2)$$, then the value of $$(A^2 - B^2 + C^2)$$ is:

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Question 59

Two trains of same length are running on parallel tracks in the same direction at 54 km/h and 42 km/h respectively. The faster train passes the other train in 63 seconds. Whatis the length (in metres) of each train?

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Question 60

The value of $$\frac{3 \div \left\{5 - 5 \div (6 - 7) \times 8 + 9\right\}}{4 + 4 \times 4 \div 4  of  4}$$ is:

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